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Math Period: ______
Final Exam Review Sheet #2
Part 1 (Multiple Choice)- Write the letter before each number for each question below.
1. Four points of a rectangle on the coordinate plane are A (–3,3), B (–3,–4), C (1,–4),
D (1,3). Find the distance from A to D.
A) 3 units B) – 4 units C) 4units D) 0 units
2. Evaluate and simplify: ÷ 7
A) 5 B) C) D)
3. The net on the right represents what geometric solid?
A) triangular prism B) rectangular prism
C) triangular pyramid D) regular polygon
4. The following shape is plotted on the coordinate plane below. What is the total
perimeter of the figure? (1 box = 1 cm)
A) 25 cm
B) 26 cm
C) 27 cm
D) 28 cm
5. Based on the chart on the right,
If 300 students in Grade 6 were
surveyed, how many students
picked chocolate as their favorite
ice cream flavor?
A) 50 students B) 25 students C) 125 students D) 150 students
6. Which solution would make this equation true?
9 =
A) 9 B) 729 C) 981 D) 819
FAVORITE ICE CREAM FLAVOR PERCENT
VANILLA 25%
STRAWBERRY 15%
CHOCOLATE 50%
OTHER 10%
_ 7. Convert 12.5% to a decimal
A) 125.0 B ) 0.125 C) 1.25 D) 12.5
8. Arrange the numbers from least to greatest: 35% 0.37
A) 0.37 35%
B) 0.37 35%
C) 35% 0.37
D) 35% 0.37
9. The ratio of boys to girls in Mr. Donaldson’s Math class is 2:1. If there are 9 girls
in class, how many TOTAL STUDENTS are in Mr. Donaldson’s Math class ?
A) 27 B) 18 C) 9 D) 30
10. Alexis is training for the Long Island Triathlon. To train, she runs every other day,
swims every three days, and bikes every four days. If she starts her training on
September 1st
by doing all three on the same day, when will be the next time she
will train all three again in September?
A) September 6 B) September 12 C) September 13 D) September 24
11. Alexandra plotted the first three corners of a
parallelogram on the grid below. What are the
coordinates of the 4th
corner?
A) (3,–4)
B) (–3,4)
C) (–4,4)
D) (4,–3)
12. Which set is ordered from GREATEST to LEAST?
A) 8, - 1, 1, 5
B) – 16, - 10, 0, 20
C) 31, 17, - 4, - 5
D) -31, - 15, 6, 8
13. Which fraction below is between 7 and 7 ?
A) 7 B) 7 C) 7 D) 7
14. Line segment GF is plotted on the coordinate
plane on the right. What would be the coordinates
of the line segment reflected over the x axis?
A) Point F (-3,4) ; Point G (–1,2)
B) Point F (3,–4) ; Point G (1,–2)
C) Point F (–3,–4) ; Point G (–1,–2)
D) Point F (3,4) ; Point G (1,2)
15. What is the GCF of 18 and 45?
A) 810 B) 5 C) 3 D) 9
16. Which inequality below shows “at least 10 people must sign up for the class”?
A) n > 10 B) n > 10 C) n < 10 D) n < 10
17. In order to solve for n in the equation n + 32 = 80, which operation would have to
be done first?
A) multiply by 32 on both sides
B) add 32 to both sides
C) subtract 32 on both sides
D) divide by 32 on both sides
18. Mrs. Anderson buys ground beef at a cost of $4.60 per pound. How much will it
cost her if she buys 2.5 pounds?
A) $11.50 B) $7.10 C) $4.85 D) $10.10
19. Which inequality is the number line modeling?
A) – 7 > x > 1 B) – 7 > x > 1 C) – 7 < x < 1 D) – 7 > x > 1
20. How many inch pieces of rope can be cut from a piece of rope that
measures 3 inches in length?
A) 8 pieces B) 3 pieces C) 2 pieces D) 5 pieces
21. Andre has a total of 288 baseball cards. He wants to put the cards into plastic
sleeve protectors that hold 12 baseball cards per page. What equation can he use to find out
how many pages he would need to hold all 288 cards?
A) 288p = 12 B) 12 + p = 288 C) 12p = 288 D) p ÷ 288 = 12
22. Which property below shows an example of the commutative property?
A) 14 + 5 = 5 + 14
B) (22 + 8) + 15 = 22 + (8 + 15)
C) 8(7 + 5) = (8 • 7) + (8 • 5)
D) 16 • 1 = 16
23. Evaluate 3 • 52
– (18 + 3)
A) 12 B) 9 C) 54 D) 60
24. Which of the following fractions will result in a repeating decimal?
A) B) C) D)
25. Sea level is at 0 feet. A butterfly flutters at 2 feet above sea level, a gnat floats at
1 foot above sea level and mosquito hovers just above the ground at .88 feet
above sea level. Which is furthest from the surface of the ground?
A) sea level B) butterfly C) gnat D) mosquito
26. Which fraction is the reciprocal of ?
A) B) C) D)
27. Evaluate the expression – x for n = 21 and x = 2
A) 61 B) 5 C) 9 D) 14
28. If hockey player A weighs 200 pounds. Hockey player B weighs an unknown
amount compared to hockey player A. If the ratio of Player A to Player B is 4:5,
how many pounds does hockey player B weigh?
A) 800 lbs. B) 200 lbs. C) 1000 lbs. D) 250 lbs.
29. What expression is the following tape diagram showing?
A) one-half divided by three-fourths
B) three fourths divided by one-half
C) three fourths divided by 2
D) three divided by 2
30. Find the area of the polygon ABCD where AB = 13 cm. and BC = 5 cm..
A) 65 cm.² B) 18 cm.² C) 26 cm. D) 36 cm. ²
31. What is as a decimal?
A) 0.025 B) 0.25 C) 0.4 D) 0.04
32. What symbol belongs in the box? 4 4.60%
A) B) C) D)
33. A car can drive 50 miles on two gallons of gas, how many miles would the car
travel on 12 gallons of gas?
A) 180 B) 200 C) 600 D) 300
34. A rectangular prism has dimensions of 4cm, 6cm, and 10cm. What is the volume
of the prism?
A) 20 cm3
B) 240 cm3
C) 248 cm3
D) 1200 cm3
35. Evaluate the following expression: |–8| • |–3| + |5|
A) –19 B) 19 C) – 29 D) 29
36. Which tape diagram below best models the expression in expanded form:
4(x + 2)
a) +
b) + + + +
c)
37. Which statement about the prism on the right is TRUE?
A) The number of vertices and faces are equal.
B) Only the top and the bottom faces are SQUARES.
C) ALL of the faces are TRIANGLES.
D) All of the faces are SQUARES.
x 2
x x x x
4x
x
2+
2
Part 2- Must show all work and write the final answer in the box on the right!
1. Mary is buying CDs from an online store. Each CD cost $12 and there is a flat fee of $7
for shipping.
A) Write an equation for the total cost (y) of CDs bought (x).
B) If Mary buys 8 CDs from the online store, calculate her total cost using the
equation you wrote from above. Show your work below
2. The points of a triangle are
A(–2,4), B(–3,1), and C(0,1). Plot the points
in the coordinate plane and find the area of the
triangle. Show all work and remember that A = ½ bh
3. a) Find the area of the composite figure. Show all work.
b) Find the perimeter of the composite shape above.
17 cm
2 cm 6 cm
15 cm
14 cm
4. The ratio of non-fiction books to fiction books in the teacher’s classroom is 3:5. If the
total number of books in the classroom is 168, how many of each book is there in the
classroom? Use a tape diagram to prove your answer.
5. Ryan is making chocolate milk. The mixture requires 6 tbsps. of Nestle Quik for every 3
cups of milk. His brother, Adam’s recipe requires 5 tbsps. of Nestle Quik for every 2
cups of milk.
a) Complete both charts:
Ryan’s Mix
Nestle Quik (tbsps) 6 8 12
Milk (cups) 3 5
Adam’s Mix
Nestle Quik (tbsps) 5 15
Milk (cups) 2 4 8
b) If using Ryan’s Mix, how many tablespoons of Nestle Quik should he use for 18 cups
of milk? _________
c) Which recipe will have a stronger Nestle Quik chocolaty flavor? ______________
6. Find the SURFACE AREA of the Rectangular Prism below (not drawn to scale).
Total Surface Area -
ANSWER
______ NON-FICTION BOOKS
______ FICTION BOOKS
𝟕 𝐟𝐭.
𝟐 𝐟𝐭.
𝟒 𝐟𝐭.
7. Five colleagues went on a business trip together. They stopped for lunch on their trip.
The bill came to $120.00. They decided to tip the server 25% of the bill.
A) What would the tip be?
B) What would the total bill be including the tip?
C) How much would each person have to contribute to share the
the cost of the bill and tip evenly?
Final Exam Review #2 Answer Key Part 1
1. C
2. D
3. C
4. D
5. D
6. B
7. B
8. D
9. A
10.C
11.B
12.C
13.C
14.B
15.D
16.A
17.C
18.A
19.C
20.D
21.C
22.A
23.C
24.B
25.B
26.D
27.B
28.D
29.C
30.A
31.D
32.A
33.D
34.B
35.D
36.D
37.B
Final Exam Review #2 Answer Key Part 2
1a. 12x + 7 = y
1b. $103
2. 4.5un2
3a. 157cm2
3b. 92cm
4.
Non-fiction
21 21 21
Fiction
21 21 21 21 21
non-fiction= 63 books & fiction = 105 books
5a.
Ryan’s Mix
Nestle Quik
(tbsps)
6 8 10 12
Milk (cups) 3 4 5 6
Adam’s Mix
Nestle Quik
(tbsps)
5 10 15 20
Milk (cups) 2 4 6 8
5b. 36 tbsp
5c. Adam’s will have a more chocolaty flavor because it has 10tbsp of Nestle Quik
for 4 cups of milk when Ryan’s has less Nestle Quik (8tbsp) for the same amount of milk
(4 cups)
6. 2(7x2) + 2(7x4) + 2(2x4)
2(14)+2(28) + 2(8)
28 + 56 + 16
100ft2
7a. $30
7b. $150
7c. $30

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Final exam review sheet # 2 2015

  • 1. Name: ________________________________ Date: ________ Math Period: ______ Final Exam Review Sheet #2 Part 1 (Multiple Choice)- Write the letter before each number for each question below. 1. Four points of a rectangle on the coordinate plane are A (–3,3), B (–3,–4), C (1,–4), D (1,3). Find the distance from A to D. A) 3 units B) – 4 units C) 4units D) 0 units 2. Evaluate and simplify: ÷ 7 A) 5 B) C) D) 3. The net on the right represents what geometric solid? A) triangular prism B) rectangular prism C) triangular pyramid D) regular polygon 4. The following shape is plotted on the coordinate plane below. What is the total perimeter of the figure? (1 box = 1 cm) A) 25 cm B) 26 cm C) 27 cm D) 28 cm 5. Based on the chart on the right, If 300 students in Grade 6 were surveyed, how many students picked chocolate as their favorite ice cream flavor? A) 50 students B) 25 students C) 125 students D) 150 students 6. Which solution would make this equation true? 9 = A) 9 B) 729 C) 981 D) 819 FAVORITE ICE CREAM FLAVOR PERCENT VANILLA 25% STRAWBERRY 15% CHOCOLATE 50% OTHER 10%
  • 2. _ 7. Convert 12.5% to a decimal A) 125.0 B ) 0.125 C) 1.25 D) 12.5 8. Arrange the numbers from least to greatest: 35% 0.37 A) 0.37 35% B) 0.37 35% C) 35% 0.37 D) 35% 0.37 9. The ratio of boys to girls in Mr. Donaldson’s Math class is 2:1. If there are 9 girls in class, how many TOTAL STUDENTS are in Mr. Donaldson’s Math class ? A) 27 B) 18 C) 9 D) 30 10. Alexis is training for the Long Island Triathlon. To train, she runs every other day, swims every three days, and bikes every four days. If she starts her training on September 1st by doing all three on the same day, when will be the next time she will train all three again in September? A) September 6 B) September 12 C) September 13 D) September 24 11. Alexandra plotted the first three corners of a parallelogram on the grid below. What are the coordinates of the 4th corner? A) (3,–4) B) (–3,4) C) (–4,4) D) (4,–3) 12. Which set is ordered from GREATEST to LEAST? A) 8, - 1, 1, 5 B) – 16, - 10, 0, 20 C) 31, 17, - 4, - 5 D) -31, - 15, 6, 8 13. Which fraction below is between 7 and 7 ? A) 7 B) 7 C) 7 D) 7
  • 3. 14. Line segment GF is plotted on the coordinate plane on the right. What would be the coordinates of the line segment reflected over the x axis? A) Point F (-3,4) ; Point G (–1,2) B) Point F (3,–4) ; Point G (1,–2) C) Point F (–3,–4) ; Point G (–1,–2) D) Point F (3,4) ; Point G (1,2) 15. What is the GCF of 18 and 45? A) 810 B) 5 C) 3 D) 9 16. Which inequality below shows “at least 10 people must sign up for the class”? A) n > 10 B) n > 10 C) n < 10 D) n < 10 17. In order to solve for n in the equation n + 32 = 80, which operation would have to be done first? A) multiply by 32 on both sides B) add 32 to both sides C) subtract 32 on both sides D) divide by 32 on both sides 18. Mrs. Anderson buys ground beef at a cost of $4.60 per pound. How much will it cost her if she buys 2.5 pounds? A) $11.50 B) $7.10 C) $4.85 D) $10.10 19. Which inequality is the number line modeling? A) – 7 > x > 1 B) – 7 > x > 1 C) – 7 < x < 1 D) – 7 > x > 1 20. How many inch pieces of rope can be cut from a piece of rope that measures 3 inches in length? A) 8 pieces B) 3 pieces C) 2 pieces D) 5 pieces 21. Andre has a total of 288 baseball cards. He wants to put the cards into plastic sleeve protectors that hold 12 baseball cards per page. What equation can he use to find out how many pages he would need to hold all 288 cards? A) 288p = 12 B) 12 + p = 288 C) 12p = 288 D) p ÷ 288 = 12
  • 4. 22. Which property below shows an example of the commutative property? A) 14 + 5 = 5 + 14 B) (22 + 8) + 15 = 22 + (8 + 15) C) 8(7 + 5) = (8 • 7) + (8 • 5) D) 16 • 1 = 16 23. Evaluate 3 • 52 – (18 + 3) A) 12 B) 9 C) 54 D) 60 24. Which of the following fractions will result in a repeating decimal? A) B) C) D) 25. Sea level is at 0 feet. A butterfly flutters at 2 feet above sea level, a gnat floats at 1 foot above sea level and mosquito hovers just above the ground at .88 feet above sea level. Which is furthest from the surface of the ground? A) sea level B) butterfly C) gnat D) mosquito 26. Which fraction is the reciprocal of ? A) B) C) D) 27. Evaluate the expression – x for n = 21 and x = 2 A) 61 B) 5 C) 9 D) 14 28. If hockey player A weighs 200 pounds. Hockey player B weighs an unknown amount compared to hockey player A. If the ratio of Player A to Player B is 4:5, how many pounds does hockey player B weigh? A) 800 lbs. B) 200 lbs. C) 1000 lbs. D) 250 lbs. 29. What expression is the following tape diagram showing? A) one-half divided by three-fourths B) three fourths divided by one-half C) three fourths divided by 2 D) three divided by 2 30. Find the area of the polygon ABCD where AB = 13 cm. and BC = 5 cm.. A) 65 cm.² B) 18 cm.² C) 26 cm. D) 36 cm. ²
  • 5. 31. What is as a decimal? A) 0.025 B) 0.25 C) 0.4 D) 0.04 32. What symbol belongs in the box? 4 4.60% A) B) C) D) 33. A car can drive 50 miles on two gallons of gas, how many miles would the car travel on 12 gallons of gas? A) 180 B) 200 C) 600 D) 300 34. A rectangular prism has dimensions of 4cm, 6cm, and 10cm. What is the volume of the prism? A) 20 cm3 B) 240 cm3 C) 248 cm3 D) 1200 cm3 35. Evaluate the following expression: |–8| • |–3| + |5| A) –19 B) 19 C) – 29 D) 29 36. Which tape diagram below best models the expression in expanded form: 4(x + 2) a) + b) + + + + c) 37. Which statement about the prism on the right is TRUE? A) The number of vertices and faces are equal. B) Only the top and the bottom faces are SQUARES. C) ALL of the faces are TRIANGLES. D) All of the faces are SQUARES. x 2 x x x x 4x x 2+ 2
  • 6. Part 2- Must show all work and write the final answer in the box on the right! 1. Mary is buying CDs from an online store. Each CD cost $12 and there is a flat fee of $7 for shipping. A) Write an equation for the total cost (y) of CDs bought (x). B) If Mary buys 8 CDs from the online store, calculate her total cost using the equation you wrote from above. Show your work below 2. The points of a triangle are A(–2,4), B(–3,1), and C(0,1). Plot the points in the coordinate plane and find the area of the triangle. Show all work and remember that A = ½ bh 3. a) Find the area of the composite figure. Show all work. b) Find the perimeter of the composite shape above. 17 cm 2 cm 6 cm 15 cm 14 cm
  • 7. 4. The ratio of non-fiction books to fiction books in the teacher’s classroom is 3:5. If the total number of books in the classroom is 168, how many of each book is there in the classroom? Use a tape diagram to prove your answer. 5. Ryan is making chocolate milk. The mixture requires 6 tbsps. of Nestle Quik for every 3 cups of milk. His brother, Adam’s recipe requires 5 tbsps. of Nestle Quik for every 2 cups of milk. a) Complete both charts: Ryan’s Mix Nestle Quik (tbsps) 6 8 12 Milk (cups) 3 5 Adam’s Mix Nestle Quik (tbsps) 5 15 Milk (cups) 2 4 8 b) If using Ryan’s Mix, how many tablespoons of Nestle Quik should he use for 18 cups of milk? _________ c) Which recipe will have a stronger Nestle Quik chocolaty flavor? ______________ 6. Find the SURFACE AREA of the Rectangular Prism below (not drawn to scale). Total Surface Area - ANSWER ______ NON-FICTION BOOKS ______ FICTION BOOKS 𝟕 𝐟𝐭. 𝟐 𝐟𝐭. 𝟒 𝐟𝐭.
  • 8. 7. Five colleagues went on a business trip together. They stopped for lunch on their trip. The bill came to $120.00. They decided to tip the server 25% of the bill. A) What would the tip be? B) What would the total bill be including the tip? C) How much would each person have to contribute to share the the cost of the bill and tip evenly?
  • 9. Final Exam Review #2 Answer Key Part 1 1. C 2. D 3. C 4. D 5. D 6. B 7. B 8. D 9. A 10.C 11.B 12.C 13.C 14.B 15.D 16.A 17.C 18.A 19.C 20.D 21.C 22.A 23.C 24.B 25.B 26.D 27.B 28.D 29.C 30.A 31.D 32.A 33.D 34.B 35.D 36.D 37.B
  • 10. Final Exam Review #2 Answer Key Part 2 1a. 12x + 7 = y 1b. $103 2. 4.5un2 3a. 157cm2 3b. 92cm 4. Non-fiction 21 21 21 Fiction 21 21 21 21 21 non-fiction= 63 books & fiction = 105 books 5a. Ryan’s Mix Nestle Quik (tbsps) 6 8 10 12 Milk (cups) 3 4 5 6 Adam’s Mix Nestle Quik (tbsps) 5 10 15 20 Milk (cups) 2 4 6 8 5b. 36 tbsp 5c. Adam’s will have a more chocolaty flavor because it has 10tbsp of Nestle Quik for 4 cups of milk when Ryan’s has less Nestle Quik (8tbsp) for the same amount of milk (4 cups) 6. 2(7x2) + 2(7x4) + 2(2x4) 2(14)+2(28) + 2(8) 28 + 56 + 16 100ft2 7a. $30 7b. $150 7c. $30